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27. (I) A pendulum has a period of 1.85 s on Earth. What is its period on Mars, where the acceleration of gravity is about 0.37 that on Earth? 28. (I) How long must a simple pendulum be if it is to make exactly one swing per second? (That is, one complete oscillation takes exactly 2.0 s.) 29. (I) A pendulum makes 28 oscillations in exactly 50 5. What is its (a) period and (b) frequency? 30. (ll) What is the period ofa simple pendulum 47 cm long ( a) on the Earth, and ( b) when it is in a freely falling elevator? 31. (II) Your grandfather clock's pendulum has a length of 0.9930 m. If the clock runs slow and loses 21 5 per day, how should you adjust the length of the pendulum? 5. An artificial satellite in a low orbit circles the earth every 98 minutes. What is its angular speed in rad/s? B i U Font Family AA A WIN- iA10. A bicycle wheel has an outside diameter of 66 cm. Through what distance does a point on the rim move as the wheel rotates through an angle of 70? B i U Font Family AAA VEE 95 W Q11. Express the angular speed of an old 33 1/3 rpm LP in rad/s. B i U Font Family AAA DE EE . @ 9513. When Mary is 3.00 m from the center of a merry-go-round, her tangential speed is a constant 1.88 m/s. (a) What is her angular speed in rad/s? (b) What is the magnitude of her linear acceleration? Bi U Font Family AAA DE E E . OG 14. A car is traveling along a freeway at 65 mph. What is the linear speed, relative to the highway, of each of the following points on one of its tires? (a) the highest point on the tire (b) the lowest point on a tire (c) the center of the tire B i U Font Family